The simple Insertion sort is simply adaptable to singly linked list. This is the method in which there is an array link of pointers, one for each of the original array. Initially link[i] = i + 1 for 0 < = i < n-1 and link[n-1] = -1. Hence the array can be thought of as a linear link list pointed to by an external pointer first initialized to 0. To insert the kth element the linked list is traversed until the proper position for x[k] is found, or until the end of the list is reached. At that point x[k] can be inserted into the list by simply adjusting the list pointers without shifting any elements in the array. This decreases the time needed for insertion but not the time needed for searching for the proper position. The number of replacements in the link array is O(n).